Answer:
11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they received a pneumococcal vaccination, or they did not. The probability of an adult receiving a pneumococcal vaccination is independent of other adults. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
70% of U.S. adults aged 65 and over have ever received a pneumococcal vaccination.
This means that 
20 adults
This means that 
Determine the probability that exactly 12 members of the sample received a pneumococcal vaccination.
This is P(X = 12).
11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.
Answer:
58 miles/hour
Step-by-step explanation:
Given that the family Christmas gathering has been scheduled at 2:00 p.m.,
and Joshua left the house at 8:00 a.m.
So, the total time available in order to arrive on time to attend the Christmas gathering, t=6 hours
The total distance, Joshua has to travel, d= 348 miles.
As average speed= (total distance)/(total time)
So, the average speed of driving = 348/6=58 miles/hour
Hence, Joshua must drive at an average speed of 58 miles/hour in order to arrive on time.
<span>The set of an integer is called the set Z
The set of integers number is composed by
the positive whole number {0, 1, 2, 3…}
and the negative whole number
{…-4, -3, -2, -1, 0} .We write it as follow
Z= {…- 4, -3, -2, -1, 0}U{0, 1, 2, 3…}.
If we assume that k is inside Z, so k can
be a negative integer of positive integer.
Besides the absolute value of a number
is always the positive value of this number.
Let be k<0 an integer different from zero,
so abs(k) >0, and abs(k)> k for all value of k.
For example for k= -2, and
abs(k)=abs(-2)=2> -2 (always)</span>
To express sin O as a fraction in simplest term is 5/6
<h3>
How to determine the expression</h3>
Using the formula:
Sin O = opposite/ hypotenuse
Where opposite = The side directly opposite the angle
hypotenuse = The longest side of the triangle
Sin O = 5 / 6
Therefore, to express sin O as a fraction in simplest term is 5/6
Learn more about the trigonometry here:
brainly.com/question/7331447
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